Question

solve the inequality 4x < -8x + 12. write your answer as an inequality and in interval notation, then graph the solution set on the number line. for graphing: if the symbol in the inequality is < or >, use an open circle. if the symbol in the inequality is ≤ or ≥, use a closed circle. inequality: 4x < -8x + 12

Explanation:

Step1: Add \(8x\) to both sides

\[4x + 8x< - 8x+8x + 12\]
\[12x<12\]

Step2: Divide both sides by 12

\[\frac{12x}{12}<\frac{12}{12}\]
\[x < 1\]

Answer:

Inequality Notation: \(x<1\)
Graph: Use an open - circle at \(x = 1\) and draw an arrow to the left.
Interval Notation: \((-\infty,1)\)